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Synchronization of two different chaotic systems with discontinuous coupling

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Abstract

This paper is concerned with the problem of synchronization between two different chaotic systems with discontinuous coupling. Based on the stability theory and the comparison theorem of differential equations, we derive less restrictive synchronization conditions than those resulting from the Lyapunov theory. The theoretical results show that generalized synchronization between two different chaotic systems can be achieved if the time-average coupling strength is large enough. Finally, the corresponding numerical simulations are presented to demonstrate the effectiveness of proposed schemes.

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Acknowledgements

We thank anonymous referees for helpful suggestions and comments. This work was supported by the National Natural Science Foundation of China (Grant Nos. 61203304 and 61391240193), the Tian Yuan Special Funds of the National Natural Science Foundation of China (Grant No. 11226150), the Fundamental Research Funds for the Central Universities (Grant Nos. 2011QNA26, 2010LKSX04, and 2010LKSX09), and the China Scholarship Council.

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Authors and Affiliations

  1. School of Science, China University of Mining and Technology, Xuzhou, 221008, P.R. China

    Hongjun Shi & Yongzheng Sun

  2. School of Mathematical Sciences, Research Center for Nonlinear Science, Fudan University, Shanghai, 200433, P.R. China

    Donghua Zhao

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  1. Hongjun Shi
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  2. Yongzheng Sun
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  3. Donghua Zhao
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Correspondence to Hongjun Shi.

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Shi, H., Sun, Y. & Zhao, D. Synchronization of two different chaotic systems with discontinuous coupling. Nonlinear Dyn 75, 817–827 (2014). https://doi.org/10.1007/s11071-013-1106-2

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  • DOI: https://doi.org/10.1007/s11071-013-1106-2

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